540401616 has 30 divisors (see below), whose sum is σ = 1512374370. Its totient is φ = 180133824.

The previous prime is 540401599. The next prime is 540401671. The reversal of 540401616 is 616104045.

540401616 is a `hidden beast` number, since 5 + 4 + 0 + 40 + 1 + 616 = 666.

540401616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 536385600 + 4016016 = 23160^2 + 2004^2 .

It is a super-2 number, since 2×540401616² = 584067813150822912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540401616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1876251 + ... + 1876538.

It is an arithmetic number, because the mean of its divisors is an integer number (50412479).

Almost surely, 2^540401616 is an apocalyptic number.

It is an amenable number.

540401616 is an abundant number, since it is smaller than the sum of its proper divisors (971972754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540401616 is a wasteful number, since it uses less digits than its factorization.

540401616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752803 (or 3752794 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540401616 is about 23246.5398715594. The cubic root of 540401616 is about 814.5271152370.

The spelling of 540401616 in words is "five hundred forty million, four hundred one thousand, six hundred sixteen".